# Finding the Whole Given Part + Ratio

## Finding the Whole Given Part + Ratio

In this problem here, we’re given the ratio of boys to girls at a particular high school and asked to find the number of girls that attend. Now, we aren’t given the total number of students at the high school, but what we are given is the number of boys that attend. The key to this, as with most other ratio problems, is going to be to figure out how many of the whole is represented by each of the ones in the ratio.

In this case we have students, so we need to figure out how many students each one in the ratio represents. Because we don’t have the whole, we just have to take the part that we have, in this case the boys, and divided by the number in the ratio that represents the boys. We’re going to take 1,135 and divide it by the boys’ part of the ratio, or five. 1,135 ÷ 5. Five goes into 11 two times, which is equal to ten. We’ll subtract ten from 11 and that gives us one. Now we add this one, 13. Five goes into 13 two times, which is once again ten. This leaves us with three. Tack on the five. Five goes into 35 seven times. Five goes into 1,135 227 times.

What this tells us is that each one in the ratio represents 227 students. To find the number of girls that attend this high school, we can multiply the number that represents the girls, our 3, by 227, and that will give us the number of girls. We’ll take 227 x 3. 3 x 7 = 21. Carry the 2. 3 x 2 = 6. 6 + 2 = 8 and 3 x 2 = six. So, at this high school there are 681 girls.

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Last updated: 06/15/2018

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